How do you multiply $( 3 sqrt 5) ( 2 sqrt 10 )$ ?

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Answer 1 · 2017-04-15T01:46:15

$(3sqrt5)(2sqrt10)=color(blue)(30sqrt2$

Multiply:

$(3sqrt5)(2sqrt10)$

Remove parentheses.

$3sqrt5xx2sqrt10$

Combine like terms.

$3xx2xxsqrt(5xx10)$

Simplify.

$6sqrt50$

Prime factorize $sqrt50$ .

$6sqrt(2xx5xx5)=$

$6sqrt(2xx5^2)$

Simplify.

$6xx5sqrt2$

Simplify.

$30sqrt2$

How do you multiply ( 3 sqrt 5) ( 2 sqrt 10 )( 3 sqrt 5) ( 2 sqrt 10 )?